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Steenbakkers RJA, Andreev M, Schieber JD. Thermodynamically consistent incorporation of entanglement spatial fluctuations in the slip-link model. Phys Rev E 2021; 103:022501. [PMID: 33736108 DOI: 10.1103/physreve.103.022501] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/11/2020] [Accepted: 12/09/2020] [Indexed: 11/07/2022]
Abstract
We evaluate the thermodynamic consistency of the anisotropic mobile slip-link model for entangled flexible polymers. The level of description is that of a single chain, whose interactions with other chains are coarse grained to discrete entanglements. The dynamics of the model consist of the motion of entanglements through space and of the chain through the entanglements, as well as the creation and destruction of entanglements, which are implemented in a mean-field way. Entanglements are modeled as discrete slip links, whose spatial positions are confined by quadratic potentials. The confinement potentials move with the macroscopic velocity field, hence the entanglements fluctuate around purely affine motion. We allow for anisotropy of these fluctuations, described by a set of shape tensors. By casting the model in the form of the general equation for the nonequilibrium reversible-irreversible coupling from nonequilibrium thermodynamics, we show that (i) since the confinement potentials contribute to the chain free energy, they must also contribute to the stress tensor, (ii) these stress contributions are of two kinds: one related to the virtual springs connecting the slip links to the centers of the confinement potentials and the other related to the shape tensors, and (iii) these two kinds of stress contributions cancel each other if the confinement potentials become anisotropic in flow, according to a lower-convected evolution of the confinement strength or, equivalently, an upper-convected evolution of the shape tensors of the entanglement spatial fluctuations. In previous publications, we have shown that this cancellation is necessary for the model to obey the stress-optical rule and the Green-Kubo relation, and simultaneously to agree with plateau modulus predictions of multichain models and simulations.
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Affiliation(s)
- Rudi J A Steenbakkers
- Center for Molecular Study of Condensed Soft Matter, Illinois Institute of Technology, 3440 South Dearborn Street, Chicago, Illinois 60616, USA.,Department of Chemical and Biological Engineering, Illinois Institute of Technology, 10 West 35th Street, Chicago, Illinois 60616, USA
| | - Marat Andreev
- Center for Molecular Study of Condensed Soft Matter, Illinois Institute of Technology, 3440 South Dearborn Street, Chicago, Illinois 60616, USA.,Department of Physics, Illinois Institute of Technology, 3101 South Dearborn Street, Chicago, Illinois 60616, USA
| | - Jay D Schieber
- Center for Molecular Study of Condensed Soft Matter, Illinois Institute of Technology, 3440 South Dearborn Street, Chicago, Illinois 60616, USA.,Department of Chemical and Biological Engineering, Illinois Institute of Technology, 10 West 35th Street, Chicago, Illinois 60616, USA.,Department of Physics, Illinois Institute of Technology, 3101 South Dearborn Street, Chicago, Illinois 60616, USA.,Department of Applied Mathematics, Illinois Institute of Technology, 10 West 32nd Street, Chicago, Illinois 60616, USA
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2
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Rasmussen HK. A constitutive analysis of the extensional flows of nearly monodisperse polyisoprene melts. POLYMER 2016. [DOI: 10.1016/j.polymer.2016.05.019] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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3
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Xu J, Mittal V, Bates FS. Toughened Isotactic Polypropylene: Phase Behavior and Mechanical Properties of Blends with Strategically Designed Random Copolymer Modifiers. Macromolecules 2016. [DOI: 10.1021/acs.macromol.6b01521] [Citation(s) in RCA: 32] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Jun Xu
- Department
of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, United States
| | - Vikas Mittal
- Department
of Chemical Engineering, The Petroleum Institute, Abu Dhabi, United Arab Emirates
| | - Frank S. Bates
- Department
of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, United States
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4
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Nikoubashman A, Lee VE, Sosa C, Prud'homme RK, Priestley RD, Panagiotopoulos AZ. Directed Assembly of Soft Colloids through Rapid Solvent Exchange. ACS NANO 2016; 10:1425-33. [PMID: 26692293 DOI: 10.1021/acsnano.5b06890] [Citation(s) in RCA: 49] [Impact Index Per Article: 6.1] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/18/2023]
Abstract
We studied the directed assembly of soft nanoparticles through rapid micromixing of polymers in solution with a nonsolvent. Both experiments and computer simulations were performed to elucidate the underlying physics and to investigate the role of various process parameters. In particular, we discovered that no external stabilizing agents or charged end groups are required to keep the colloids separated from each other when water is used as the nonsolvent. Furthermore, the size of the nanoparticles can be reliably tuned through the mixing rate and the ratio between polymer solution and nonsolvent. Our results demonstrate that this mechanism is highly promising for the mass fabrication of uniformly sized colloidal particles, using a wide variety of polymeric feed materials.
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Affiliation(s)
- Arash Nikoubashman
- Department of Chemical and Biological Engineering, Princeton University , Princeton, New Jersey 08544, United States
- Institute of Physics, Johannes Gutenberg University of Mainz , Staudingerweg 7, 55128 Mainz, Germany
| | - Victoria E Lee
- Department of Chemical and Biological Engineering, Princeton University , Princeton, New Jersey 08544, United States
| | - Chris Sosa
- Department of Chemical and Biological Engineering, Princeton University , Princeton, New Jersey 08544, United States
| | - Robert K Prud'homme
- Department of Chemical and Biological Engineering, Princeton University , Princeton, New Jersey 08544, United States
| | - Rodney D Priestley
- Department of Chemical and Biological Engineering, Princeton University , Princeton, New Jersey 08544, United States
- Princeton Institute for the Science and Technology of Materials, Princeton University , Princeton, New Jersey 08544, United States
| | - Athanassios Z Panagiotopoulos
- Department of Chemical and Biological Engineering, Princeton University , Princeton, New Jersey 08544, United States
- Princeton Institute for the Science and Technology of Materials, Princeton University , Princeton, New Jersey 08544, United States
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5
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Wei MH, Li B, David RLA, Jones SC, Sarohia V, Schmitigal JA, Kornfield JA. Megasupramolecules for safer, cleaner fuel by end association of long telechelic polymers. Science 2015; 350:72-5. [DOI: 10.1126/science.aab0642] [Citation(s) in RCA: 52] [Impact Index Per Article: 5.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/23/2023]
Abstract
We used statistical mechanics to design polymers that defy conventional wisdom by self-assembling into “megasupramolecules” (≥5000 kg/mol) at low concentration (≤0.3 weight percent). Theoretical treatment of the distribution of individual subunits—end-functional polymers—among cyclic and linear supramolecules (ring-chain equilibrium) predicts that megasupramolecules can form at low total polymer concentration if, and only if, the backbones are long (>400 kg/mol) and end-association strength is optimal. Viscometry and scattering measurements of long telechelic polymers having polycyclooctadiene backbones and acid or amine end groups verify the formation of megasupramolecules. They control misting and reduce drag in the same manner as ultralong covalent polymers. With individual building blocks short enough to avoid hydrodynamic chain scission (weight-average molecular weights of 400 to 1000 kg/mol) and reversible linkages that protect covalent bonds, these megasupramolecules overcome the obstacles of shear degradation and engine incompatibility.
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6
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Ondreas F, Jancar J. Temperature, Frequency, and Small Static Stress Dependence of the Molecular Mobility in Deformed Amorphous Polymers near Their Glass Transition. Macromolecules 2015. [DOI: 10.1021/acs.macromol.5b00550] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
| | - Josef Jancar
- CEITEC, Brno University of Technology, 616 00 Brno, Czech Republic
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7
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Gillard TM, Medapuram P, Morse DC, Bates FS. Fluctuations, Phase Transitions, and Latent Heat in Short Diblock Copolymers: Comparison of Experiment, Simulation, and Theory. Macromolecules 2015. [DOI: 10.1021/acs.macromol.5b00277] [Citation(s) in RCA: 28] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023]
Affiliation(s)
- Timothy M. Gillard
- Department of Chemical Engineering
and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, United States
| | - Pavani Medapuram
- Department of Chemical Engineering
and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, United States
| | - David C. Morse
- Department of Chemical Engineering
and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, United States
| | - Frank S. Bates
- Department of Chemical Engineering
and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, United States
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8
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Jancar J, Hoy RS, Jancarova E, Zidek J. Effect of temperature, strain rate and particle size on the yield stresses and post-yield strain softening of PMMA and its composites. POLYMER 2015. [DOI: 10.1016/j.polymer.2015.03.001] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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9
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Bai F, Chen G, Nie M, Wang Q. Assistant effect of poly(methyl methacrylate)-grafted carbon nanotubes on the beta polymorph of poly(vinylidene fluoride) during microinjection. RSC Adv 2015. [DOI: 10.1039/c5ra08397d] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022] Open
Abstract
A facial way to fabricate an electroactive PVDF device directly through melt processing.
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Affiliation(s)
- Feng Bai
- State Key Laboratory of Polymer Materials Engineering
- Polymer Research Institute of Sichuan University
- Chengdu 610065
- China
| | - Gang Chen
- State Key Laboratory of Polymer Materials Engineering
- Polymer Research Institute of Sichuan University
- Chengdu 610065
- China
| | - Min Nie
- State Key Laboratory of Polymer Materials Engineering
- Polymer Research Institute of Sichuan University
- Chengdu 610065
- China
| | - Qi Wang
- State Key Laboratory of Polymer Materials Engineering
- Polymer Research Institute of Sichuan University
- Chengdu 610065
- China
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10
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De Nicola A, Kawakatsu T, Milano G. Generation of Well-Relaxed All-Atom Models of Large Molecular Weight Polymer Melts: A Hybrid Particle-Continuum Approach Based on Particle-Field Molecular Dynamics Simulations. J Chem Theory Comput 2014; 10:5651-67. [PMID: 26583248 DOI: 10.1021/ct500492h] [Citation(s) in RCA: 30] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/11/2023]
Abstract
A procedure based on Molecular Dynamics (MD) simulations employing soft potentials derived from self-consistent field (SCF) theory (named MD-SCF) able to generate well-relaxed all-atom structures of polymer melts is proposed. All-atom structures having structural correlations indistinguishable from ones obtained by long MD relaxations have been obtained for poly(methyl methacrylate) (PMMA) and poly(ethylene oxide) (PEO) melts. The proposed procedure leads to computational costs mainly related on system size rather than to the chain length. Several advantages of the proposed procedure over current coarse-graining/reverse mapping strategies are apparent. No parametrization is needed to generate relaxed structures of different polymers at different scales or resolutions. There is no need for special algorithms or back-mapping schemes to change the resolution of the models. This characteristic makes the procedure general and its extension to other polymer architectures straightforward. A similar procedure can be easily extended to the generation of all-atom structures of block copolymer melts and polymer nanocomposites.
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Affiliation(s)
- Antonio De Nicola
- Dipartimento di Chimica e Biologia, Università degli Studi di Salerno , via Ponte don Melillo, Fisciano, Salerno I-84085, Italy.,IMAST Scarl-Technological District in Polymer and Composite Engineering, Piazza Bovio 22, Napoli, Napoli I-80133, Italy
| | - Toshihiro Kawakatsu
- Department of Physics, Tohoku University , Aoba, Aramaki, Aoba-ku, Sendai, Miyagi 980-8578, Japan
| | - Giuseppe Milano
- Dipartimento di Chimica e Biologia, Università degli Studi di Salerno , via Ponte don Melillo, Fisciano, Salerno I-84085, Italy.,IMAST Scarl-Technological District in Polymer and Composite Engineering, Piazza Bovio 22, Napoli, Napoli I-80133, Italy
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11
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Chen Y, Lei Y, Zou H, Liang M, Cao Y. Structural and rheological property relationship of bimodal polyethylene with improved environment stress cracking resistance. POLYMER SCIENCE SERIES A 2014. [DOI: 10.1134/s0965545x14050058] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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12
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Polystyrene-poly(2-ethylhexylmethacrylate) block copolymers: Synthesis, bulk phase behavior, and thin film structure. POLYMER 2014. [DOI: 10.1016/j.polymer.2014.02.047] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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13
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Schwahn D, Pipich V, Richter D. Composition and Long-Range Density Fluctuations in PEO/PMMA Polymer Blends: A Result of Asymmetric Component Mobility. Macromolecules 2012. [DOI: 10.1021/ma2019123] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Dietmar Schwahn
- Jülich Centre for Neutron
Science JCNS and Institute for Complex Systems ICS, Forschungszentrum Jülich GmbH, D-52425 Jülich, Germany
| | - Vitaliy Pipich
- Jülich Centre for Neutron
Science JCNS-FRM II, Forschungszentrum Jülich GmbH, Outstation at FRM II, Lichtenbergstraße 1,
D-85747 Garching, Germany
| | - Dieter Richter
- Jülich Centre for Neutron
Science JCNS and Institute for Complex Systems ICS, Forschungszentrum Jülich GmbH, D-52425 Jülich, Germany
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14
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Stein GE, Liddle JA, Aquila AL, Gullikson EM. Measuring the Structure of Epitaxially Assembled Block Copolymer Domains with Soft X-ray Diffraction. Macromolecules 2009. [DOI: 10.1021/ma901914b] [Citation(s) in RCA: 37] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Gila E. Stein
- Center for Nanoscale Science and Technology, National Institute of Standards and Technology, Gaithersburg, Maryland 20899
| | - J. Alexander Liddle
- Center for Nanoscale Science and Technology, National Institute of Standards and Technology, Gaithersburg, Maryland 20899
| | - Andrew L. Aquila
- Applied Science and Technology Graduate Group, University of California, Berkeley, California 94720
| | - Eric M. Gullikson
- Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720
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15
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Yao Z, Liu S, Lv F, Cao K. Determination of Mark–Houwink parameters of ethylene–norbornene copolymers and molecular characteristics estimation. J Appl Polym Sci 2008. [DOI: 10.1002/app.28498] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
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16
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Glynos E, Pispas S, Koutsos V. Amphiphilic Diblock Copolymers on Mica: Formation of Flat Polymer Nanoislands and Evolution to Protruding Surface Micelles. Macromolecules 2008. [DOI: 10.1021/ma702630c] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Emmanouil Glynos
- Institute for Materials and Processes, School of Engineering and Electronics & Centre for Materials Science and Engineering, University of Edinburgh, King’s Buildings, Edinburgh EH9 3JL, United Kingdom, and Theoretical and Physical Chemistry Institute, National Hellenic Research Foundation, 48 Vass. Constantinou Ave., 11635 Athens, Greece
| | - Stergios Pispas
- Institute for Materials and Processes, School of Engineering and Electronics & Centre for Materials Science and Engineering, University of Edinburgh, King’s Buildings, Edinburgh EH9 3JL, United Kingdom, and Theoretical and Physical Chemistry Institute, National Hellenic Research Foundation, 48 Vass. Constantinou Ave., 11635 Athens, Greece
| | - Vasileios Koutsos
- Institute for Materials and Processes, School of Engineering and Electronics & Centre for Materials Science and Engineering, University of Edinburgh, King’s Buildings, Edinburgh EH9 3JL, United Kingdom, and Theoretical and Physical Chemistry Institute, National Hellenic Research Foundation, 48 Vass. Constantinou Ave., 11635 Athens, Greece
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17
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Ferri D, Greco F. Nonlinear Stress Relaxation of Molten Polymers: Experimental Verification of a New Theoretical Approach. Macromolecules 2006. [DOI: 10.1021/ma0527653] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Dino Ferri
- Polimeri Europa Research Center, Via Taliercio 14, 46100 Mantova, Italy, and Institute for Composite and Biomedical Materials (IMCB) − CNR, P. le Tecchio 80, 80125 Napoli, Italy
| | - Francesco Greco
- Polimeri Europa Research Center, Via Taliercio 14, 46100 Mantova, Italy, and Institute for Composite and Biomedical Materials (IMCB) − CNR, P. le Tecchio 80, 80125 Napoli, Italy
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18
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Müller K, Kreiling S, Dehnicke K, Allgaier J, Richter D, Fetters LJ, Jung Y, Yoon DY, Greiner A. Synthesis and Rheological Properties of Poly(5-n-hexylnorbornene). MACROMOL CHEM PHYS 2006. [DOI: 10.1002/macp.200500228] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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19
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Stephen R, Alex R, Cherian T, Varghese S, Joseph K, Thomas S. Rheological behavior of nanocomposites of natural rubber and carboxylated styrene butadiene rubber latices and their blends. J Appl Polym Sci 2006. [DOI: 10.1002/app.23852] [Citation(s) in RCA: 42] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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20
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Ristolainen N, Vainio U, Paavola S, Torkkeli M, Serimaa R, Seppälä J. Polypropylene/organoclay nanocomposites compatibilized with hydroxyl-functional polypropylenes. ACTA ACUST UNITED AC 2005. [DOI: 10.1002/polb.20485] [Citation(s) in RCA: 36] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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21
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Fetters LJ, Lohse DJ, García-Franco CA, Brant P, Richter D. Prediction of Melt State Poly(α-olefin) Rheological Properties: The Unsuspected Role of the Average Molecular Weight per Backbone Bond. Macromolecules 2002. [DOI: 10.1021/ma025659z] [Citation(s) in RCA: 97] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
| | | | | | | | - Dieter Richter
- Research Center, Jülich Institute for Solid State Research, Jülich, Germany 52425
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